Error estimates for approximations of a gradient dynamics for phase field elastic bending energy of vesicle membrane deformation |
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| Authors: | Liyong Zhu Qiang Du |
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| Affiliation: | 1. LMIB and School of Mathematics and Systems Science, Beihang University, , 100191 Beijing, China;2. Department of Mathematics, Pennsylvania State University, , University Park, PA 16802, USA |
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| Abstract: | In this paper, we study the numerical approximations of a gradient flow associated with a phase field bending elasticity model of a vesicle membrane with prescribed volume and surface area. A spatially semi‐discrete scheme based on a mixed finite element formulation and a fully discrete in space and time scheme are analyzed. Optimal order error estimates are rigorously derived for these numerical schemes without any a priori assumption. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | phase field vesicle membrane mixed finite element error estimates gradient flow |
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